Frequent visits are required during the first two months of the study. Then, study visits take place about every 4 weeks, but more often (every 2 weeks) when reducing medication doses. After two years, participants will be asked to return for check-ups every 3 months. Study visits may include consultations with the transplant doctors, physical exam, blood and/or urine samples and kidney biopsies at several times during the study. In all, participation could last up to 4 years. All study-related medications and tests are provided at no charge to the patient.